Search a number
-
+
122201323311122 = 211834311201129287
BaseRepresentation
bin11011110010010000110110…
…011101111001000000010010
3121000200022222022221201222222
4123302100312131321000102
5112004121302231423442
61111522302443101042
734511516465456156
oct3362206635710022
9530608868851888
10122201323311122
1135a34321255450
1211857527b11782
1353256c61ba733
14222680b66d066
15e1db0bd4e8d2
hex6f2436779012

122201323311122 has 64 divisors (see below), whose sum is σ = 203015042592768. Its totient is φ = 54703492320000.

The previous prime is 122201323311101. The next prime is 122201323311187. The reversal of 122201323311122 is 221113323102221.

It is a junction number, because it is equal to n+sod(n) for n = 122201323311091 and 122201323311100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945129563 + ... + 945258849.

It is an arithmetic number, because the mean of its divisors is an integer number (3172110040512).

Almost surely, 2122201323311122 is an apocalyptic number.

122201323311122 is a deficient number, since it is larger than the sum of its proper divisors (80813719281646).

122201323311122 is a wasteful number, since it uses less digits than its factorization.

122201323311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131015.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 122201323311122 its reverse (221113323102221), we get a palindrome (343314646413343).

The spelling of 122201323311122 in words is "one hundred twenty-two trillion, two hundred one billion, three hundred twenty-three million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 11 22 83 166 431 862 913 1201 1826 2402 4741 9482 13211 26422 35773 71546 99683 129287 199366 258574 393503 517631 787006 1035262 1096513 1422157 2193026 2844314 5693941 10730821 11387882 21461642 42963373 55722697 85926746 111445394 118039031 155273687 236078062 310547374 472597103 612949667 945194206 1225899334 1708010557 3416021114 4624983851 9249967702 12887716021 25775432042 50874822361 66922959097 101749644722 133845918194 141764876231 283529752462 736152550067 1472305100134 5554605605051 11109211210102 61100661655561 122201323311122